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Finding the Fourth Proportional to 315.71, 472.94 and 207.17

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Solution

The fourth proportional to 315.71, 472.94 and 207.17 is: 310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.71 : 472.94 = 207.17 : x
  2. Step 2: Convert to fraction form
    315.71/472.94 = 207.17/x
  3. Step 3: Cross multiply
    315.71x = 472.94 × 207.17
  4. Step 4: Simplify right side
    315.71x = 97,978.98
  5. Step 5: Solve for x
    x = 97,978.98/315.71
  6. Step 6: Final answer
    x = 310.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.